SKEMA PEMARKAHAN
MODUL KECEMERLANGAN AKADEMIK
TINGKATAN 5 PERTENGAHAN TAHUN 2017
MATHEMATICS 1449/2
SECTION A [52 MARKS]
Question
Mark Scheme
Sub Mark
Total Mark
1
(a)
(b)
Note : Q’ P is correctly shaded award K1.
1
2
3
2 089162 xx
03327 xx
x = 27
x = − 33
Area of the hall = 616 m2
Note : Do not accept any other method.
1
1
1
1
4
P
Q
R
P
Q
R
2
3
24 × 8
3
1× 10 × 8 × 9
24 × 8 + 3
1× 10 × 8 × 9
432 cm2
1 1 1 1
4
4
48x + 35y = 821 or x y = 5 or equivalent 83x = 996 or 83y = 581 or equivalent OR
x =48
35821 y or y =
35
48821 x or
x = 5 + y or y = x 5 or equivalent. (1) 83x = 996 or 83y = 581 or equivalent (1) OR
5
821
11
3548
y
x (1)
5
821
481
351
)35(1)1(48
1
y
x (1)
x = 12 y = 7
Note : If
7
12
y
x award 1 mark
1 1 1 1
4
3
5
(a) (i) False / Palsu (ii) True / Benar
(b) {1, 4, 9} {2, 3, 5, 7} = dan (A B) A
(c) Set R have 4 elements / Set R mempunyai 4 unsur.
(d) 73
7
22
2
1 2
99
1 1 1 1 1 1
6
6
(a)
(b) Identify EBA
tan EBA = 9
13 or equivalent
55.30 or 55 18’
1 1 1 1
3
7
(a) 360
50 × 2 ×
7
22 × 7 or
360
130× 2 ×
7
22 × 14
360
50 × 2 ×
7
22 × 7 + 7 + 2(
360
130× 2 ×
7
22 × 14) + 14 + 14 + 7
1113
2 or 111.67 or
3
335
1
1
1
A
B
C
D
E
9 cm
4
(b) 360
50 ×
7
22 × 7
2 or
360
130×
7
22 × 14
2 or
360
130×
7
22 × 7
2
360
50 ×
7
22 × 7
2 +
360
130×
7
22 × 14
2
360
130×
7
22 × 7
2
1889
2 or 188.22 or
9
1694
1
1
1
6
8
(a) (E,G) (E,M) (E,F) (S,G) (S,M) (S,F) (M,G) (M,M) (M,F) (b) (i) (E,G) (E,M) (E,F) (S,G) (S,M) (S,F)
3
2
(ii) (E,M) (S,M) (M,G) (M,M) (M,F)
9
5
1 1 1 1 1
5
9
(a) y = 6
(b) y = 2
3x + c
– 3 = 2
3 (8) + c
y = 2
3 x + 9
(c) 0 = 2
3 x + 9
U(6 , 0)
1 1 1 1 1 1
6
5
10
(a) )75)(15()40)(30(
1
3075
1540
75
1
3075
1540
(b)
4075
1530
y
x =
425
165
y
x =
)75)(15()40)(30(
1
3075
1540
425
165
x = 3 y = 5
Note :
5
3 award 1 mark
1 1 1 1 1 1
6
11
Dotted line y = 7 drawn.
Region shaded correctly.
1 2
3
y = x
y
x 0
x + y = 7
6
Section B
Question
Mark Scheme Sub
Mark
Total
Mark
12
(a)
x – 3 2
y 11 – 14
1
1
(b)Rujuk graf
Note:
1) if points are correctly marked on the graph 2) the curve passes exactly through the points. Graph :
Axes are drawn in the correct direction with uniform scale. in the range −4 x 3.5 and -46 y 46.
All 6 points and 2 points* are correctly marked
Smooth curve and continuously in range of -4 x 3.5 with no straight line part and passing through all the correct 8 points.
Note:
(i) 6 @ 7 points are correctly plotted, award 1 mark (ii) Other scale used, deduct 1 mark.
1
2
1
(c) (i) 8 ≤ y ≤ 10
(ii) 3.0 ≤ x ≤ 3.2
1 1
(d) Identify equation of 53 xy
Straight line 53 xy correctly drawn
4.22.2 x
1 1 1
12
7
13
(i) (1, 4)
Note: Point (1, 6) award 1 mark
(ii) ( –3, 6)
Note: Point (4, 7) award 1 mark
2
2
(b)
(i) (a) U = Pantulan pada garis x=1
(b) V = Pembesaran, faktor skala 2, pusat pembesaran (6, 3)
(ii) 2245
2245 – 45
135
2
3
1
1
1
12
14
(a) 31
(b) (i)
(c) (ii) 410985310
)47(4)42(10)37(9)32(8)27(5)22(3)17(1)12(0
35.375
1
1
2
1
2
1
Umur (tahun)
Ages (year)
Kekerapan
Frequency
Titik Tengah
Midpoint
10 – 14 0 12
15 – 19 1 17
20 – 24 3 22
25 – 29 5 27
30 – 34 8 32
35 – 39 9 37
40 – 44 10 42
45 – 49 4 47
8
(d) Rujuk graf
Axes drawn in the correct directions with uniform scales.
All 9 points correctly plotted.
Point (12, 0) and (47, 0) correctly plotted.
All the 9 points starting from (12, 0) until (52, 0) are
connected correctly with straight line.
1
1
1
1
9
15
(a) Correct shape with rectangle DCRS and SRLM. All solid lines DM>DC>DS Measurement correct to ± 0.2 cm ( one way ) and all angles 900 ±10
1 1 1
3
2 cm
5 cm
M/J L/K
H/E G/F
D/A C/B
6 cm
6 cm
10
(b)(i) Correct shape ADHEMJ and semicircle AJ>AB=ES>EH>DH Measurement correct to ± 0.2 cm ( one way ) and all angles
J, A, D and H = 900 ±10
1 1 2
4
2 cm
7 cm
3 cm
2 cm
6 cm
M/L J/K
E/F H/G
S/R
A/B D/C
11
(b)(ii) Correct shape with rectangle KRSJ and KFEJ. All solid lines Note : Ignore straight lines GH Dashed line GH JS>JK>EH=DS>JM>ME Measurement correct to ± 0.2 cm ( one way ) and all angles 900 ±10
1 1 1 2
5
K/B R
S J/A M E H/D
L F G/C 2 cm 1 cm 3cm 3cm
6 cm
12
O -1 2 3 1 -2 -3
x
4
y
50
30
10
40
20
-10
-20
-4
-40
-30
y = 3x + 5
-50
y = - x3 + 2 x - 10
13
N0 14
SOALAN 15
Frequency
5
1
6
4
2
3
7
8
9
10
Marks
0
22 27 37 42 32 17 12 47 52
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